# Mazy's Department Store has decided to stay open on a 24-hour basis. The store manager has divided

## Question:

Time .......... Personnel Needed

Midnight–4:00 A.M. ........ 90

4:00–8:00 A.M. ......... 215

8:00–Noon .......... 250

Noon–4:00 P.M. .......... 65

4:00–8:00 P.M. ........ 300

8:00–Midnight ......... 125

Personnel must report for work at the beginning of one of these times and work 8 consecutive hours. The store manager wants to know the minimum number of employees to assign for each 4-hour segment to minimize the total number of employees.

a. Formulate a linear programming model for this problem.

b. Solve the model by using the computer.

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